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Finding the Fourth Proportional to 3,830.36, 5,747.38 and 2,858.36

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Solution

The fourth proportional to 3,830.36, 5,747.38 and 2,858.36 is: 4,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.36 : 5,747.38 = 2,858.36 : x
  2. Step 2: Convert to fraction form
    3,830.36/5,747.38 = 2,858.36/x
  3. Step 3: Cross multiply
    3,830.36x = 5,747.38 × 2,858.36
  4. Step 4: Simplify right side
    3,830.36x = 16,428,081.10
  5. Step 5: Solve for x
    x = 16,428,081.10/3,830.36
  6. Step 6: Final answer
    x = 4,288.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.